Free loop space and the cyclic bar construction
Algebraic Topology
2017-05-04 v2
Abstract
Using the structure on singular cochains, we construct a homotopy coherent map from the cyclic bar construction of the differential graded algebra of cochains on a space to a model for the cochains on its free loop space. This fills a gap in the paper "Cyclic homology and equivariant homology" by John D.S. Jones.
Cite
@article{arxiv.1602.09035,
title = {Free loop space and the cyclic bar construction},
author = {Massimiliano Ungheretti},
journal= {arXiv preprint arXiv:1602.09035},
year = {2017}
}
Comments
9 pages, minor changes